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كويز تفاعلي: 19 Questions: اختبر نفسك (8) - الرياضيات - الصف الثاني عشر متقدم

اختبر نفسك (8) في مادة الرياضيات للصف الثاني عشر المتقدم، الفصل الدراسي الثالث لعام 2025-2026.
يتناول هذا الاختبار مراجعة شاملة للدرس الثاني من الوحدة السادسة: الحجوم (الشرائح، الأقراص والحلقات).
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رقم الاختبار 1250
الصف الصف الثاني عشر المتقدم
المادة رياضيات
الفصل الفصل الثالث
السنة الدراسية 2025-2026
عدد الأسئلة 19
إجمالي النقاط 19
تاريخ الإضافة 2026-05-12
الزيارات 187
المعلم عماد عودة
الناشر Amal Salman
يرجى الانتباه إلى أن المعلم قام بإعداد الأسئلة فقط، ولم يقم بإعداد الإجابات أو الشروحات المرفقة. وقد تم توليد الإجابات باستخدام تقنيات الذكاء الاصطناعي، لذلك قد تتضمن بعض الأخطاء أو عدم الدقة.
للحصول على الإجابات الصحيحة والمضمونة، يُرجى الرجوع إلى المعلم أو المصدر الدراسي المعتمد.
Question 1
DB question no.: 1
Points: 1
Find the volume of the solid with cross sectional area:
\(A(x) = \pi (3 + x)^2, 0 \le x \le 2\)
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Question 2
DB question no.: 2
Points: 1
Find the volume of the solid with cross sectional area:
\(A(x) = 2(x + 1)^2, 1 \le x \le 4\)
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Question 3
DB question no.: 3
Points: 1
Find the volume of the solid with cross sectional area:
\(A(x) = x + 2, -1 \le x \le 3\)
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Question 4
DB question no.: 4
Points: 1
Find the volume of the solid with cross sectional area:
\(A(x) = x + 4, -1 \le x \le 3\)
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Question 5
DB question no.: 5
Points: 1
The base of a solid V is the region bounded by the functions \(y = \sqrt{x}, y = 0, x = 2\). Find the volume if cross sections of the solid perpendicular to the x-axis are equilateral triangles.
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Question 6
DB question no.: 6
Points: 1
The base of a solid is the region in the first quadrant bounded by 2x + 3y = 6, x = 0, y = 0. If the cross sections of the solid perpendicular to the x-axis are semicircles, what is the volume of the solid?
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Question 7
DB question no.: 7
Points: 1
The base of a solid is the region in the first quadrant bounded by \(y = \sqrt{x}, y = 0, x = 4\). If the cross sections of the solid perpendicular to the y-axis are squares, what is the volume of the solid?
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Question 8
DB question no.: 8
Points: 1
Compute the volume of the solid formed by revolving the given region about the y-axis: y = 4 - 2x, x = 0, y = 0.
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Question 9
DB question no.: 9
Points: 1
Compute the volume of the solid formed by revolving the given region about the x-axis: y = 2 - x, y = 0, x = 0.
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Question 10
DB question no.: 10
Points: 1
Compute the volume of the solid formed by revolving the given region about the y-axis: \(y = \sqrt{x}, y = 2, x = 0\).
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Question 11
DB question no.: 11
Points: 1
Compute the volume of the solid formed by revolving the given region about the x-axis: \(y = x + \frac{3}{x}, y = 4\).
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Question 12
DB question no.: 12
Points: 1
Compute the volume of the solid formed by revolving the given region about the x-axis: \(y = \sec x, x = \frac{\pi}{3}, x = 0, y = 0\).
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Question 13
DB question no.: 13
Points: 1
Compute the volume of the solid formed by revolving the given region about y = 2: \(y = \sqrt{x + 1}, y = x - 1, x = 0\).
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Question 14
DB question no.: 14
Points: 1
Compute the volume of the solid formed by revolving the given region about x = 4: \(y = \sqrt{x}, y = 2, x = 0\).
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Question 15
DB question no.: 15
Points: 1
Compute the volume of the solid formed by revolving the given region about y-axis: y = 10 - 2x. (Assume boundaries with axes).
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Question 16
DB question no.: 16
Points: 1
Compute the volume of the solid formed by revolving the given region about x-axis: \(y = \sqrt{x + 1}, x \in [0,3]\).
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Question 17
DB question no.: 17
Points: 1
Compute the volume of the solid formed by revolving the given region about y = 0: \(y = \sqrt{16 - x^2}, y = 0\).
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Question 18
DB question no.: 18
Points: 1
Let R be the region enclosed by the graph of \(y = \frac{4}{x}\) and the line y = 5 - x. The volume of the solid obtained by revolving R about the y-axis is given by:
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Question 19
DB question no.: 19
Points: 1
Compute the volume of the solid formed by revolving the given region about the y-axis: y = 6 - 2x, x = 0, y = 0.
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